Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube  

作　　者：D.TRIPATHI N.ALI T.HAYAT M.K.CHAUBE A.A.HENDI 

机构地区：[1]Birla Institute of Technology and Science,Pilani Hyderabad Campus,Hyderabad 500078,India [2]Department of Mathematics and Statistics,International Islamic University,Islamabad 46000,Pakistan [3]Department of Mathematics,Quaid-i-Azam University,Islamabad 45320,Pakistan [4]Department of Physics,Faculty of Science,King Saud University,P.O.Box 1846,Riyadh 11320,Saudi Arabia [5]Department of Applied Mathematics,IT-BHU,Varanasi 221005,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第10期1231-1244,共14页应用数学和力学（英文版）

基　　金：supported by the Visiting Professor Programming of King Sand University(No.KSU-VPP-117)

摘　　要：The present investigation studies the peristaltic flow of the Jeffrey fluid through a tube of finite length. The fluid is electrically conducting in the presence of an applied magnetic field. Analysis is carried out under the assumption of long wavelength and low Reynolds number approximations. Expressions of the pressure gradient, volume flow rate, average volume flow rate, and local wall shear stress are obtained. The effects of relaxation time, retardation time, Hartman number on pressure, local wall shear stress, and mechanical efficiency of peristaltic pump are studied. The reflux phenomenon is also investigated. The case of propagation of a non-integral number of waves along the tube walls, which are inherent characteristics of finite length vessels, is also examined.The present investigation studies the peristaltic flow of the Jeffrey fluid through a tube of finite length. The fluid is electrically conducting in the presence of an applied magnetic field. Analysis is carried out under the assumption of long wavelength and low Reynolds number approximations. Expressions of the pressure gradient, volume flow rate, average volume flow rate, and local wall shear stress are obtained. The effects of relaxation time, retardation time, Hartman number on pressure, local wall shear stress, and mechanical efficiency of peristaltic pump are studied. The reflux phenomenon is also investigated. The case of propagation of a non-integral number of waves along the tube walls, which are inherent characteristics of finite length vessels, is also examined.

关 键 词：peristaltic flow MAGNETOHYDRODYNAMICS Jeffrey fluid finite length tube mechanical efficiency REFLUX 

分 类 号：O361[理学—流体力学]